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Popular >

simplify e^{-t}*(cos(at))/t

Solution

simplify

e^{- t} \cdot \frac{cos ( a t )}{t}

Solution

\frac{cos ( t a )}{e ^{t} t}

Solution steps

e^{- t} \frac{cos ( a t )}{t}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{cos ( t a )}{t} \cdot \frac{1}{e ^{t}}

Multiply fractions:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1 \cdot cos ( a t )}{e ^{t} t}

Multiply:

1 \cdot cos (a t) = cos (a t)

= \frac{cos ( t a )}{e ^{t} t}

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Frequently Asked Questions (FAQ)

What is e^{-t}*(cos(at))/t ?
The solution to e^{-t}*(cos(at))/t is (cos(ta))/(e^tt)